| 多维区域上椭圆型方程Dirichlet问题的勒让德多小波多层扩充算法 |
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| 引用本文： | 周小林.多维区域上椭圆型方程Dirichlet问题的勒让德多小波多层扩充算法[J].河海大学学报(自然科学版),2015(3):257-264. |
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| 作者姓名： | 周小林 |
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| 作者单位： | 厦门大学嘉庚学院信息科学与技术学院, 福建\ 招商局漳州开发区 363105. |
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| 摘 要： | 用小波伽辽金方法求解多维区域上椭圆型方程齐次Dirichlet问题, 构造了近似解空间的两个
等价的勒让德多小波基, 使得快速求解离散后的线性方程组的多层扩充算法得以实现. 数值算例
表明该算法是有效的.
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| 关 键 词： | 小波伽辽金方法 勒让德多小波 多层扩充算法 |
Multilevel Augmentation Method for Dirichlet Problem
of Multidimensional Elliptic Equations
Using Legendre Multiwavelets |
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| ZHOU Xiaolin.Multilevel Augmentation Method for Dirichlet Problem
of Multidimensional Elliptic Equations
Using Legendre Multiwavelets[J].Journal of Hohai University (Natural Sciences ),2015(3):257-264. |
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| Authors: | ZHOU Xiaolin |
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| Institution: | Department of Information and Computational Sciences, Tan Kah Kee College
of Xiamen University, Development Zone of Zhangzhou Investment Promotion
Bureau 363105, Fujian, China. |
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| Abstract: | The Wavelet-Galerkin method is applied to solve the Dirichlet problem of higher
dimensional elliptic equations. Two equivalent multiwavelet bases are constructed so that
the resulting linear system of equations can be solved efficiently by the multilevel augmen-
tation method. Numerical experiments show that this algorithm is efficient. |
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| Keywords: | Wavelets-Galerkin methods Legendre multiwavelets Multilevel
augmentation method |
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